Abstract: The
Sivashinsky equation is a nonlinear
evolutionary equation that is of fourth order
in space. In this paper, a linearized
three-level difference scheme is derived. It
is proved that the scheme is uniquely solvable
and convergent with the convergence rate of
order two in a discrete L2norm.
Keywords and phrases: Sivashinsky equation, linearized difference scheme, solvability, convergence.
